Article
| Title: | On the Choquet integrals associated to Bessel capacities (English) |
| Author: | Ooi, Keng Hao |
| Language: | English |
| Journal: | Czechoslovak Mathematical Journal |
| ISSN: | 0011-4642 (print) |
| ISSN: | 1572-9141 (online) |
| Volume: | 72 |
| Issue: | 2 |
| Year: | 2022 |
| Pages: | 433-447 |
| Summary lang: | English |
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| Category: | math |
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| Summary: | We characterize the Choquet integrals associated to Bessel capacities in terms of the preduals of the Sobolev multiplier spaces. We make use of the boundedness of local Hardy-Littlewood maximal function on the preduals of the Sobolev multiplier spaces and the minimax theorem as the main tools for the characterizations. (English) |
| Keyword: | Choquet integral |
| Keyword: | Bessel capacity |
| Keyword: | Hardy-Littlewood maximal function |
| MSC: | 31C15 |
| MSC: | 42B25 |
| idZBL: | Zbl 07547213 |
| idMR: | MR4412768 |
| DOI: | 10.21136/CMJ.2021.0525-20 |
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| Date available: | 2022-04-21T19:01:47Z |
| Last updated: | 2022-09-08 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/150410 |
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| Reference: | [9] Ooi, K. H., Phuc, N. C.: Characterizations of predual spaces to a class of Sobolev multiplier type spaces.Available at https://arxiv.org/abs/2005.04349 (2020), 46 pages. MR 4360359 |
| Reference: | [10] Ooi, K. H., Phuc, N. C.: On a capacitary strong type inequality and related capacitary estimates.Available at https://arxiv.org/abs/2009.09291v1 (2020), 12 pages. MR 4404777 |
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